Enantiodromia (Yin-Yang Chaos Construction, 8x8)
(Published on 3. August 2022, 00:05 by thoughtbyte)
This is inspired by the great solvers/setters Jesper and kolot. I have been experimenting with minimal grids to attempt kolot's challenge. While I have come nowhere close thus far, the challenge has pushed my setting to levels I did not think I was capable of. Thank you kolot! I had tried to combine Yin-Yang and chaos construction in the past and gave up after many failed attempts. Jesper's amazing Chaos Construction: Yin Yang (9x9) inspired me to revisit the idea. Thank you Jesper!
Chaos construction: place one of each digit 1-8 in every row, column, and region, but the regions must be determined by the solver.
Yin-Yang: divide the grid into two colors so that all cells of the same color are orthogonally connected, no 2x2 area is one color, and each region is one color.
Friendly region X-sums: if a cell contains its row or column number then it is friendly. Clues outside the grid represent any positive integers and they are the sum of the first X digits from that direction where X is the first digit and the Xth digit is the first friendly cell from that direction. All cells included in the sum are in the same region and the cell after the friendly cell is oppositely colored. All possible ? clues are given.
Arrows: digits along an arrow sum to the digit in its circle.
F-Puzzles: https://f-puzzles.com/?id=28ytswxs
CTC: https://tinyurl.com/chaosyinyang
An example grid with some valid partial shading given the friendly X-sum clues. This is not a complete puzzle, it is only intended to demonstrate valid ? clues:
Solution code: Row 4, column 8.
Comments
on 16. November 2022, 20:26 by peacherwu2
Genius ruleset!
on 19. September 2022, 03:54 by ONeill
Brutal puzzle, but loved all of the initial logic, thank you :)
on 29. August 2022, 18:26 by Whaargaarbl
Wow, what a puzzle. 5 stars for difficulty, 5 stars for fun. Excellent!
on 19. August 2022, 00:43 by Agent
Very impressive minimalistic puzzle! Despite being smaller, it delivered in terms of originality and complexity.
on 5. August 2022, 02:03 by cdwg2000
Very nice,Thanks thoughtbyte.
on 4. August 2022, 23:08 by Niverio
Such a brutal puzzle! The minimalistic aspects, despite telegraphing where to look, doesn't make any rewarding deduction easy to spot!
on 3. August 2022, 23:34 by Jesper
Great puzzle, thanks! Really good use of region-based deductions.
on 3. August 2022, 03:29 by KNT
While not the longest of puzzles, that was.. quite hard. Lots of fun!
